The quotient of 4 and 2, decreased by a number, equals that number multiplied by 3
Mathematics · Middle School · Mon Jan 18 2021
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Given the numerical statement:
The quotient of 4 and 2, decreased by a number, equals that number multiplied by 3
Find the number.
Solution:
The given numerical statement can be written as.
4/2 - x = 3x
In order to solve for x, we simply need to transpose -x to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
4/2 - x = 3x
2 - x = 3x
2 = 3x + x
2 = 4x
Divide both sides by 4 in order to determine the value of x.
4x/4 = 2/4
x = ½
Final answer:
x = ½